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math.GR2019
Topological groups all continuous automorphisms of which are open
Vitalij Chatyrko, Dmitri Shakhmatov
A topological space is reversible if each continuous bijection of it onto itself is open. We introduce an analogue of this notion in the category of topological groups: A topologic…
math.GR2019
Automorphism groups of dense subgroups of R^n
Vitalij Chatyrko, Dmitri Shakhmatov
By an automorphism of a topological group G we mean an isomorphism of G onto itself which is also a homeomorphism. In this article, we study the automorphism group Aut(G) of a dens…